3.
B
ge
18cm
A
60°
20cm
с
Calculate the size of angle ABC.

Answer:

17.4cm

Step-by-step explanation

17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120

To get the length of AB, we will use the cosine rule

AB² = BC² + AC² - 2(BC)(AC) cos <ABC

AB² = 8² + 12² - 2(8)(12) cos 120

AB² = 64 + 144 - 192cos12

AB² = 208 - (-96)

AB² = 208 +96

AB² = 208 - (-96)

AB² = 304

AB² = 17.4cm

Hence the length of AB is 17.4cm

Answer:

5 cups

Step-by-step explanation:

To do this simply, we can just count up how many cups we can buy.

starting balance=

$12.50

after cup 1=

12.5−2.5=$10.00

after cup 2=

10−2.5=$7.50

after cup 3=

7.5−2.5=$5.00

after cup 4=

5−2.5=$2.50

after cup 5=

2.5−2.5=$0.00

From this, we can see that after buying the 5th

cup, the buyer is out of money, so that means that you can buy

5 cups of food to feed the animals before running out of money.

The number of cups is 2 cups

The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of cups be = x

The total amount y = $ 14

The cost of entering the zoo = $ 10

The cost of of feeding the animals per cup = $ 2

So , the equation will be

Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )

Substituting the values in the equation , we get

y = 2x + 10   be equation (1)

On simplifying the equation , we get

14 = 2x + 10

Subtracting 10 on both sides of the equation , we get

2x = 4

Divide by 2 on both sides of the equation , we get

x = 2 cups

Therefore , the value of x is 2 cups

Hence , the number of cups is 2 cups

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Answer:

$ 501.23

Step-by-step explanation:

Sales Tax Calculations

Net Price is the tag price or list price before any sales taxes are applied.

Total Price is the final amount paid including sales tax.

Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)

Total Price = Net Price + Sales Tax Amount

Solve

Net Price x (Sales Tax Percentage / 100)

119,340.00 x 42%/100

Total Price = Net Price + Sales Tax Amount

501.23

Step-by-step explanation:

by basic proportionality therom

x/33=14/20

20×x=14×33

20x=462

x=462/20

x=23.1

The value of x from the triangle is x = 22.1

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangle be ABC and ADE

The triangles ΔABC ≅ ΔADE

Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

So , the ratio of the sides will be

AD / AB = AE / AC

Substituting the values in the equation , we get

14 / 20 = x / 33

Multiply by 33 on both sides of the equation , we get

The value of x = ( 14 x 33 ) / 20

The value of x = 462 / 20

The value of x = 23.1

Therefore , the value of x is 23.1

Hence , The value of x from the triangle is x = 22.1

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Answer:

Step-by-step explanation:

6g - 8 - 8g - 3

-2g - 11

Answer:

-2g - 11

Step-by-step explanation:

2(3g - 4) - (8g + 3)

Use the distributive property to multiply 2 by 3g - 4.

6g + 2(-4) - (8g + 3)

6g - 8 - (8g + 3)

Find the opposite of 8g + 3.

6g - 8 - 8g - 3

Combine like terms.

-2g - 8 - 3

Subtract 3 from -8 to get -11.

-2g + 11

The expression equivalent to 2(3g - 4) - (8g + 3) is -2g - 11.

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

Answer:

I dont see a table :/

Step-by-step explanation:

Answer:

E

Step-by-step explanation

24/7+2 = 38/7

if you plus them they are the same

Answer:

4

Step-by-step explanation:

Come on mate this is easy

small square = 1

triangles = 1 too

big triangles = triangles + 2 so big triangles = 2

2+1+1 = 4 -_-

Answer:

A) They will pay more with the new price plan than the current one.

B) The new price plan is cheaper for 7 games.

Step-by-step explanation:

Current price charges;

$3 to rent shoes

$4 per game

New price plan;

$11 to rent shoes

$2 per game

A) If a customer rents shoes and plays 2 games;

At current price;

Cost = 3 + 4(2) = $11

At new price plan;

Cost = 11 + 2(2) = $15

Thus, they will pay more with the new price plan than the current one.

B) Customer bowls 7 games;

At current price;

Cost = 3 + 4(7) = $31

At new price plan;

Cost = 11 + 2(7) = $25

Thus, the new price plan is cheaper for 7 games.

Answer: 214.28

Step-by-step explanation:

Answer:

The answer is "Hot dog buns".

Step-by-step explanation:

In the given scenario, it increased the hot dog prices result in a reduction in hot dog bun production. Complementary products are hot dogs including hot dog buns. Therefore the curve of demand is moving to the left. Please find the image file in attached.

Answer:

42

Step-by-step explanation:

as there two equal numbers of both 21 and 2 then the outcome will be just 21×2=42

Answer:

Hey!

Hope this helps you!

:)

Answer:

16 Bicycles

Step-by-step explanation:

Answer:

isnt like 40 the answer (im sorry if im wrong 3rd grader)

Step-by-step explanation:

Answer: 13/20

Step-by-step explanation:

Total number of beads: 20+14+10+28+8=80

Green beads out of the total 80: 28

Non-green beads out of the total 80: 80-28=52

The probability of Christina choosing a bead that is not green is the number if non-green beads divided by the total number of beads, so 52/80, which simplifies to 13/20

The probability of Christina choosing a bead that is not green is the number if non-green beads divided by the total number of beads is 13/20.

It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Total number of beads

=20+14+10+28+8

=80

Green beads out of the total 80: 28

Non-green beads out of the total 80:

=80-28

=52

The probability of Christina choosing a bead that is not green is the number if non-green beads divided by the total number of beads, so 52/80, which simplifies to 13/20.

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Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

Answer: Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices =  5+1.5x

Step-by-step explanation:

Let x = number of slices

As per given,

Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)

i.e. Total monthly cost for x slices = 5+1.5x

If x=20

Then, Nazim have to pay = 5+1.5(20)

= 5+30= $35

i..e Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices =  5+1.5x

Answer:

[tex]12+3\sqrt{5}[/tex]

Step-by-step explanation:

[tex](\frac{33}{4-\sqrt{5}})(\frac{4+\sqrt{5}}{4+\sqrt{5}})=\frac{132+33\sqrt{5}}{16-5}=\frac{11(12+3\sqrt{5})}{11}=12+3\sqrt{5}[/tex]

Answer:

3n^2(n−7)^2

Hope this helps you a lot!!!! Also sorry I dont have work its hard to explain on a computer.

Answer:

AA

Step-by-step explanation:

∠N and ∠E = 44°

∠A equals ∠A at 33°

Step-by-step explanation:

Here is your answer in the attachment.

Hope it helps :)

The data in this experiment is not convincing enough to prove the hypothesis.

In an experiment, convincing evidence means the data collected is relevant and accurate enough to prove the hypothesis. For the data to be considered convincing it should:

Moreover, the P-value should be always smaller than the significant level. In the case of this study, the P-value is 0.069, which means it is greater than the significant level 0.05 and this causes the data is not convincing enough.

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Answer:

(x+4)^2 + (y+2)^2 = 5

Explanation:

Using the midpoint formula, we find that the center of the circle is (-4, -2). We also calculate using the distance formula that between the two points is [tex]\sqrt{2\\0}[/tex]or [tex]2\sqrt{5\\\\}[/tex].

Because we found the diameter, to find the radius we divide by two, getting [tex]\sqrt{5\\\\}[/tex].

Now that we have the center, (-4, -2), and the distance from the center to the radius, we can put the information into the circle equation:

(x-h)^2 + (y-k)^2 = r^2

This becomes:

(x+4)^2 + (y+2)^2 = 5

Answer:

Step-by-step explanation:

(x-(-4))^2+(y-(-2))^2=5

since 2 negatives equal a positive, - -4 = +4

same thing for -2

(x+4)^2+(y+2)^2=5

Answer:

A= (-1.5, 1)

B= (0.5, -2)

C= (-1, -1.5)

D= (1, 1.5)

Answer: 45

Step-by-step explanation:

110+25 is 135 180 minus 135 is 45